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TransmissionFundamentalsChapter2ElectromagneticSignalFunctionoftimeCanalsobeexpressedasafunctionoffrequencySignalconsistsofcomponentsofdifferentfrequenciesTime-DomainConceptsAnalogsignal-signalintensityvariesinasmoothfashionovertimeNobreaksordiscontinuitiesinthesignalDigitalsignal-signalintensitymaintainsaconstantlevelforsomeperiodoftimeandthenchangestoanotherconstantlevelPeriodicsignal-analogordigitalsignalpatternthatrepeatsovertime
s(t+T)=s(t) -¥<t<+¥whereTistheperiodofthesignalTime-DomainConceptsAperiodicsignal-analogordigitalsignalpatternthatdoesn'trepeatovertimePeakamplitude(A)-maximumvalueorstrengthofthesignalovertime;typicallymeasuredinvoltsFrequency(f)Rate,incyclespersecond,orHertz(Hz)atwhichthesignalrepeatsTime-DomainConceptsPeriod(T)-amountoftimeittakesforonerepetitionofthesignalT=1/fPhase()-measureoftherelativepositionintimewithinasingleperiodofasignalWavelength()-distanceoccupiedbyasinglecycleofthesignalOr,thedistancebetweentwopointsofcorrespondingphaseoftwoconsecutivecyclesSineWaveParametersGeneralsinewaves(t)=Asin(2ft+)Figure2.3showstheeffectofvaryingeachofthethreeparameters(a)A=1,f=1Hz,=0;thusT=1s(b)Reducedpeakamplitude;A=0.5(c)Increasedfrequency;f=2,thusT=½(d)Phaseshift;=/4radians(45degrees)note:2radians=360°=1periodSineWaveParametersTimevs.DistanceWhenthehorizontalaxisistime,asinFigure2.3,graphsdisplaythevalueofasignalatagivenpointinspaceasafunctionoftimeWiththehorizontalaxisinspace,graphsdisplaythevalueofasignalatagivenpointintimeasafunctionofdistanceAtaparticularinstantoftime,theintensityofthesignalvariesasafunctionofdistancefromthesourceFrequency-DomainConceptsFundamentalfrequency-whenallfrequencycomponentsofasignalareintegermultiplesofonefrequency,it’sreferredtoasthefundamentalfrequencySpectrum-rangeoffrequenciesthatasignalcontainsAbsolutebandwidth-widthofthespectrumofasignalEffectivebandwidth(orjustbandwidth)-narrowbandoffrequenciesthatmostofthesignal’senergyiscontainedinFrequency-DomainConceptsAnyelectromagneticsignalcanbeshowntoconsistofacollectionofperiodicanalogsignals(sinewaves)atdifferentamplitudes,frequencies,andphasesTheperiodofthetotalsignalisequaltotheperiodofthefundamentalfrequencyRelationshipbetweenDataRateandBandwidthThegreaterthebandwidth,thehighertheinformation-carryingcapacityConclusionsAnydigitalwaveformwillhaveinfinitebandwidthBUTthetransmissionsystemwilllimitthebandwidththatcanbetransmittedAND,foranygivenmedium,thegreaterthebandwidthtransmitted,thegreaterthecostHOWEVER,limitingthebandwidthcreatesdistortionsDataCommunicationTermsData-entitiesthatconveymeaning,orinformationSignals-electricorelectromagneticrepresentationsofdataTransmission-communicationofdatabythepropagationandprocessingofsignalsExamplesofAnalogandDigitalDataAnalogVideoAudioDigitalTextIntegersAnalogSignalsAcontinuouslyvaryingelectromagneticwavethatmaybepropagatedoveravarietyofmedia,dependingonfrequencyExamplesofmedia:Copperwiremedia(twistedpairandcoaxialcable)FiberopticcableAtmosphereorspacepropagationAnalogsignalscanpropagateanaloganddigitaldataDigitalSignalsAsequenceofvoltagepulsesthatmaybetransmittedoveracopperwiremediumGenerallycheaperthananalogsignalingLesssusceptibletonoiseinterferenceSuffermorefromattenuationDigitalsignalscanpropagateanaloganddigitaldataAnalogSignalingDigitalSignalingReasonsforChoosingDataandSignalCombinationsDigitaldata,digitalsignalEquipmentforencodingislessexpensivethandigital-to-analogequipmentAnalogdata,digitalsignalConversionpermitsuseofmoderndigitaltransmissionandswitchingequipmentDigitaldata,analogsignalSometransmissionmediawillonlypropagateanalogsignalsExamplesincludeopticalfiberandsatelliteAnalogdata,analogsignalAnalogdataeasilyconvertedtoanalogsignalAnalogTransmissionTransmitanalogsignalswithoutregardtocontentAttenuationlimitslengthoftransmissionlinkCascadedamplifiersboostsignal’senergyforlongerdistancesbutcausedistortionAnalogdatacantoleratedistortionIntroduceserrorsindigitaldataDigitalTransmissionConcernedwiththecontentofthesignalAttenuationendangersintegrityofdataDigitalSignalRepeatersachievegreaterdistanceRepeatersrecoverthesignalandretransmitAnalogsignalcarryingdigitaldataRetransmissiondevicerecoversthedigitaldatafromanalogsignalGeneratesnew,cleananalogsignalAboutChannelCapacityImpairments,suchasnoise,limitdataratethatcanbeachievedFordigitaldata,towhatextentdoimpairmentslimitdatarate?ChannelCapacity–themaximumrateatwhichdatacanbetransmittedoveragivencommunicationpath,orchannel,undergivenconditionsConceptsRelatedtoChannelCapacityDatarate-rateatwhichdatacanbecommunicated(bps)Bandwidth-thebandwidthofthetransmittedsignalasconstrainedbythetransmitterandthenatureofthetransmissionmedium(Hertz)Noise-averagelevelofnoiseoverthecommunicationspathErrorrate-rateatwhicherrorsoccurError=transmit1andreceive0;transmit0andreceive1NyquistBandwidthForbinarysignals(twovoltagelevels)C=2BWithmultilevelsignalingC=2Blog2
MM=numberofdiscretesignalorvoltagelevelsSignal-to-NoiseRatioRatioofthepowerinasignaltothepowercontainedinthenoisethat’spresentataparticularpointinthetransmissionTypicallymeasuredatareceiverSignal-to-noiseratio(SNR,orS/N)AhighSNRmeansahigh-qualitysignal,lownumberofrequiredintermediaterepeatersSNRsetsupperboundonachievabledatarateShannonCapacityFormulaEquation:RepresentstheoreticalmaximumthatcanbeachievedInpractice,onlymuchlowerratesachievedFormulaassumeswhitenoise(thermalnoise)ImpulsenoiseisnotaccountedforAttenuationdistortionordelaydistortionnotaccountedforExampleofNyquistandShannonFormulationsSpectrumofachannelbetween3MHzand4MHz;SNRdB=24dBUsingShannon’sformulaExampleofNyquistandShannonFormulationsHowmanysignalinglevelsarerequired?ClassificationsofTransmissionMediaTransmissionMediumPhysicalpathbetweentransmitterandreceiverGuidedMediaWavesareguidedalongasolidmediumE.g.,coppertwistedpair,coppercoaxialcable,opticalfiberUnguidedMediaProvidesmeansoftransmissionbutdoesnotguideelectromagneticsignalsUsuallyreferredtoaswirelesstransmissionE.g.,atmosphere,outerspaceUnguidedMediaTransmissionandreceptionareachievedbymeansofanantennaConfigurationsforwirelesstransmissionDirectionalOmnidirectional
GeneralFrequencyRangesMicrowavefrequencyrange1GHzto40GHzDirectionalbeamspossibleSuitableforpoint-to-pointtransmissionUsedforsatellitecommunicationsRadiofrequencyrange30MHzto1GHzSuitableforomnidirectionalapplicationsInfraredfrequencyrangeRoughly,3x1011to2x1014HzUsefulinlocalpoint-to-pointmultipointapplicationswithinconfinedareasTerrestrialMicrowaveDescriptionofcommonmicrowaveantennaParabolic"dish",3mindiameterFixedrigidlyandfocusesanarrowbeamAchievesline-of-sighttransmissiontoreceivingantennaLocatedatsubstantialheightsabovegroundlevelApplicationsLonghaultelecommunicationsserviceShortpoint-to-pointlinksbetweenbuildingsSatelliteMicrowaveDescriptionofcommunicationsatelliteMicrowaverelaystationUsedtolinktwoormoreground-basedmicrowavetransmitter/receiversReceivestransmissionsononefrequencyband(uplink),amplifiesorrepeatsthesignal,andtransmitsitonanotherfrequency(downlink)ApplicationsTelevisiondistributionLong-distancetelephonetransmissionPrivatebusinessnetworksBroadcastRadioDescriptionofbroadcastradioantennasOmnidirectionalAntennasnotrequiredtobedish-shapedAntennasneednotberigidlymountedtoaprecisealignmentApplicationsBroadcastradioVHFandpartoftheUHFband;30MHZto1GHz
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